Both are 2! 2x2=4 4x2=8 so 8+4=12
Y=2x+1
x is the input, so the 2x will make it twice the input, and the +1 will make it one more, therefore y(the output) is one more than twice the input :)
<span>Call x the distance traveled
V = x / t = 89.5 = x / t => x = 89.5t
Rest time in hours = 22min * 1 h / 60 min = 11/30 h
Total time spent on the trip = t + 11/30
=> Average speed = 77.8 = x / (t + 11/30)=> x = 77.8 (t + 11/30)
=> 89.5t = 77.8 (t + 11/30)
=> 89.5t = 77.8t + 77.8 * 11/30
=> 89.5 – 77.8t = 28.527
=> 11.7 t = 28.527
=> t = 28.527 / 11.7
=> t = 2.44 h => t + 11/30 = 2.81 h
=> x = 89.5t = 89.5 * 2.44 = 218.3 km
Answers: a) 2.81 h; b) 218.3 h
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Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:


In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:


Difference:


Confidence interval:

In which z is the zscore that has a pvalue of
, with
being 1 subtracted by the confidence level.
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Lower bound of the interval:

Upper bound of the interval:

The 95% confidence interval for the difference is (-0.1888, 0.0202).
If you can multiply or divide the original triangle to equal the second triangle, and if the angles are the same, then it is a dilation